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Cellular automata and statistical mechanical models
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Non-Linear Equations in Classical and Quantum Field Theory
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The Existence of Persistent States in the Brain
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Percolation analysis of stochastic models of galactic evolution
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Fast algorithm for the simulation of Ising models
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Baxter's equations and algebraic geometry
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Phonon spectra in one-dimensional quasicrystals
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Computation theory of cellular automata
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Z 4-symmetric factorizedS-matrix in two space-time dimensions
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Universality classes for one dimensional kinetic Ising models
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Calculation of spin correlations in two-dimensional Ising systems from one-dimensional kinetic models
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Learning and pattern recognition in spin glass models
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Phase transitions for one and zero dimensional systems with short-range forces
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The existence of persistent states in the brain
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Chaos and diffusion in deterministic cellular automata
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Second order phase transition in a four-dimensional Z2 gauge theory
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Reduced Markov chains at stochastic spin models
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Introduction to automata theory, languages and computation
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Deterministic ising dynamics
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Mathematical Games
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Configuration space analysis of travelling salesman problems
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Exact nonplanar solutions of the classical relativistic three-body problem
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Time-Dependent Statistics of the Ising Model
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Finite-size scaling and phenomenological renormalization (invited)
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Intercalation compounds of graphite
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Phase Transitions and Critical Phenomena Vol 2
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Directed lattice animals and the Lee-Yang edge singularity
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Roughening transitions and the zero-temperature triangular Ising antiferromagnet
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Magnetisations from finite-size scaling
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Exact results for multiple state cellular automata
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S4-symmetry on the checkerboard Potts model
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Susceptibility of the checkerboard Ising model
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Spin-1/2lattice systems: a new approach to duality transformations
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Multivalley structure in Kauffman's model: analogy with spin glasses
inferredcites →https://doi.org/10.1088/0305-4470/19/4/016openalex-snapshot
Estimations for asymptotic series using a modified Romberg algorithm. I. Finite-size scaling calculations
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Frustration effects in quasicrystals: an exactly soluble example in one dimension
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Phase Transition in Elastic Disks
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Monte Carlo Calculations of the Ground State of Three- and Four-Body Nuclei
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Ising Model with Second-Neighbor Interaction. I. Some Exact Results and an Approximate Solution
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One-Dimensional Ising Model with Random Exchange Energy
inferredcites →https://doi.org/10.1103/physrev.60.252openalex-snapshot
Statistics of the Two-Dimensional Ferromagnet. Part I
inferredcites →https://doi.org/10.1103/physrev.60.263openalex-snapshot
Statistics of the Two-Dimensional Ferromagnet. Part II
inferredcites →https://doi.org/10.1103/physrev.87.410openalex-snapshot
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
inferredcites →https://doi.org/10.1103/physreva.23.1419openalex-snapshot
Transitions and distribution functions for chaotic systems
inferredcites →https://doi.org/10.1103/physrevb.21.4012openalex-snapshot
Phase boundary of Ising antiferromagnets near H=Hc and T=0 : Results from hard-core lattice gas calculations
inferredcites →https://doi.org/10.1103/physrevb.23.180openalex-snapshot
Multiphase behavior and modulated ordering in soluble Ising models
inferredcites →https://doi.org/10.1103/physrevb.24.398openalex-snapshot
Incommensurate and commensurate phases in asymmetric clock models
inferredcites →https://doi.org/10.1103/physrevb.24.5180openalex-snapshot
Simple three-state model with infinitely many phases
inferredcites →https://doi.org/10.1103/physrevb.32.3354openalex-snapshot
Critical dynamics, Lifshitz tricriticality, and supersymmetry: The Ising model on the hcp lattice
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Lattice Model for Confining "Bags"
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Equivalence of the Two-Dimensional Directed-Site Animal Problem to Baxter's Hard-Square Lattice-Gas Model
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Adaptation and Self-Repair in Parallel Computing Structures
inferredcites →https://doi.org/10.1103/physrevlett.52.871openalex-snapshot
Exact Results for Two- and Three-Dimensional Ising and Potts Models
inferredcites →https://doi.org/10.1103/physrevlett.53.311openalex-snapshot
Equivalence of Cellular Automata to Ising Models and Directed Percolation
inferredcites →https://doi.org/10.1103/physrevlett.54.2030openalex-snapshot
Critical Ising Spin Dynamics on Percolation Clusters
inferredcites →https://doi.org/10.1103/physrevlett.55.1707openalex-snapshot
Diffusion-controlled annihilation in the presence of particle sources: Exact results in one dimension
inferredcites →https://doi.org/10.1103/physrevlett.55.2527openalex-snapshot
Statistical Mechanics of Probabilistic Cellular Automata
inferredcites →https://doi.org/10.1103/physrevlett.55.657openalex-snapshot
Role of Irreversibility in Stabilizing Complex and Nonergodic Behavior in Locally Interacting Discrete Systems
inferredcites →https://doi.org/10.1103/revmodphys.49.435openalex-snapshot
Theory of dynamic critical phenomena
inferredcites →https://doi.org/10.1103/revmodphys.51.659openalex-snapshot
An introduction to lattice gauge theory and spin systems
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Duality in field theory and statistical systems
inferredcites →https://doi.org/10.1103/revmodphys.55.601openalex-snapshot
Statistical mechanics of cellular automata
inferredcites →https://doi.org/10.1107/s0021889873008216openalex-snapshot
A two-dimensional model of crystal-growth disorder
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Exactly Solved Models in Statistical Mechanics
inferredcites →https://doi.org/10.1143/jpsj.53.250openalex-snapshot
Infinite Series of Ground States of the Ising Model on the Honeycomb Lattice
inferredcites →https://doi.org/10.1143/ptp.52.871openalex-snapshot
Critical Relaxation of a Non-Linear Fokker-Planck Equation
inferredcites →https://doi.org/10.1145/321765.321777openalex-snapshot
Generalized Feedback Shift Register Pseudorandom Number Algorithm
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A Learning Algorithm for Boltzmann Machines*
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Random Networks of Automata: A Simple Annealed Approximation
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Storing and Retrieving Information in a Layered Spin System
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Probabilistic Cellular Automaton Models for a Fluid Experiment
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Entropy and Correlations in Dynamical Lattice Systems
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A Bibliography of Applications
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Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction
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